242412144 has 40 divisors (see below), whose sum is σ = 674404752. Its totient is φ = 74588160.

The previous prime is 242412143. The next prime is 242412151. The reversal of 242412144 is 441214242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242412143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193617 + ... + 194864.

Almost surely, 2^242412144 is an apocalyptic number.

242412144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242412144 is an abundant number, since it is smaller than the sum of its proper divisors (431992608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242412144 is a wasteful number, since it uses less digits than its factorization.

242412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388505 (or 388499 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 242412144 is about 15569.5903606999. The cubic root of 242412144 is about 623.5215349301.

Adding to 242412144 its reverse (441214242), we get a palindrome (683626386).

It can be divided in two parts, 242412 and 144, that added together give a triangular number (242556 = T₆₉₆).

The spelling of 242412144 in words is "two hundred forty-two million, four hundred twelve thousand, one hundred forty-four".